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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 723 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 342 and 247 =
  2. 2.HCF of 77 and 28 =
  3. 3.HCF of 42 and 90 =
  4. 4.HCF of 195 and 150 =
  5. 5.HCF of 22 and 10 =
  6. 6.HCF of 36 and 60 =
  7. 7.HCF of 253 and 69 =
  8. 8.HCF of 156 and 84 =
  9. 9.HCF of 336 and 264 =
  10. 10.HCF of 289 and 119 =
  11. 11.HCF of 384 and 408 =
  12. 12.HCF of 96 and 152 =
  13. 13.HCF of 55 and 15 =
  14. 14.HCF of 169 and 143 =
  15. 15.HCF of 136 and 323 =
  16. 16.HCF of 231 and 105 =
  17. 17.HCF of 16 and 40 =
  18. 18.HCF of 54 and 99 =
  19. 19.HCF of 55 and 15 =
  20. 20.HCF of 260 and 300 =
  21. 21.HCF of 12 and 42 =
  22. 22.HCF of 96 and 132 =
  23. 23.HCF of 26 and 143 =
  24. 24.HCF of 88 and 143 =
  25. 25.HCF of 72 and 40 =
  26. 26.HCF of 180 and 192 =
  27. 27.HCF of 68 and 48 =
  28. 28.HCF of 180 and 192 =
  29. 29.HCF of 100 and 80 =
  30. 30.HCF of 18 and 48 =
  31. 31.HCF of 360 and 100 =
  32. 32.HCF of 368 and 115 =
  33. 33.HCF of 204 and 72 =
  34. 34.HCF of 105 and 133 =
  35. 35.HCF of 72 and 32 =
  36. 36.HCF of 100 and 260 =
  37. 37.HCF of 336 and 312 =
  38. 38.HCF of 228 and 96 =
  39. 39.HCF of 6 and 28 =
  40. 40.HCF of 39 and 45 =

Answer key

  1. 19
  2. 7
  3. 6
  4. 15
  5. 2
  6. 12
  7. 23
  8. 12
  9. 24
  10. 17
  11. 24
  12. 8
  13. 5
  14. 13
  15. 17
  16. 21
  17. 8
  18. 9
  19. 5
  20. 20
  21. 6
  22. 12
  23. 13
  24. 11
  25. 8
  26. 12
  27. 4
  28. 12
  29. 20
  30. 6
  31. 20
  32. 23
  33. 12
  34. 7
  35. 8
  36. 20
  37. 24
  38. 12
  39. 2
  40. 3

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